6 citations · 6 across the 1 of their papers we have counts for
6 papers
Bootstrapped zero density estimates and a central limit theorem for the zeros of the zeta function
Kenneth Maples, Brad Rodgers
We unconditionally prove a central limit theorem for linear statistics of the zeros of the Riemann zeta function with diverging variance. Previously, theorems of this sort have bee…
Quantum unique ergodicity for random bases of spectral projections
Kenneth Maples
We consider a random wave model introduced by Zelditch to study the behavior of typical quasi-modes on a Riemannian manifold. Using the exponential moment method, we show that rand…
Limit operators for circular ensembles
Kenneth Maples, Joseph Najnudel, Ashkan Nikeghbali
It is known that a unitary matrix can be decomposed into a product of reflections, one for each dimension, and the Haar measure on the unitary group pushes forward to independent u…
Cokernels of random matrices satisfy the Cohen-Lenstra heuristics
Kenneth Maples
Let A be an n by n random matrix with iid entries taken from the p-adic integers or Z/NZ. Then under mild non-degeneracy conditions the cokernel of A has a universal probability di…
On the number of cycles in a random permutation
Kenneth Maples, Ashkan Nikeghbali, Dirk Zeindler
We show that the number of cycles in a random permutation chosen according to generalized Ewens measure is normally distributed and compute asymptotic estimates for the mean and va…
Singularity of Random Matrices over Finite Fields
Kenneth Maples
Let be an random matrix with iid entries over a finite field of order . Suppose that the entries do not take values in any additive coset of the field with prob…